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首页> 外文期刊>Japanese journal of applied physics >Impulse Response of Piezoelectric Transducer by Multiresolution Analysis of Energy Modes
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Impulse Response of Piezoelectric Transducer by Multiresolution Analysis of Energy Modes

机译：能量模态多分辨率分析压电传感器的脉冲响应

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摘要

The impulse response of a piezoelectric transducer with an inhomogeneous structure is calculated in a simple and systematic manner without using a Laplace transform of an electrically equivalent circuit model. The inhomogeneous structure is wavelet-analyzed to construct a 2~(L+1)-layered structure (L = 0,1,2, ...)> and 2~(L+1) energy modes are introduced in the respective layers and superposed in a probabilistic manner. The 2~(L+1) layers are classified into the odd- and even-numbered layers, and the superposition of energy modes is performed at odd and even time steps separately. The calculation precision in the time domain improves as the wavelet level L increases. Using this methodology, the calculation of the impulse response of the transducer becomes as simple as that of the frequency response, in which the uncertainty principle between time and frequency is involved.
机译：具有不均匀结构的压电换能器的脉冲响应可以通过简单而系统的方式进行计算，而无需使用等效电路模型的拉普拉斯变换。对不均匀结构进行小波分析以构造2〜（L + 1）层结构（L = 0,1,2，...）>，并在各层中引入2〜（L + 1）能量模式并以概率方式叠加。 2〜（L + 1）层分为奇数层和偶数层，能量模式的叠加分别以奇数和偶数时间步长执行。随着小波水平L的增加，时域中的计算精度提高。使用这种方法，换能器的冲激响应的计算变得与频率响应一样简单，其中涉及时间和频率之间的不确定性原理。

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